Searching for 1" x 12" groove mount drawer sliders

I am not sure what you mean by 'groove mount'. If you mean the tracks fit into a groove in the cabinet walls, see if our 32-223 or 32-345 match up. If these are not the right size, see our 32-057 which is not groove mounted, but can be mounted to the back of the cabinet with drawer sockets like our 32-018. See if any of these sets might work for you.